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Number of (n+1)X7 0..3 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases
1

%I #5 Mar 31 2012 12:37:10

%S 117084,67968,60800,109720,236488,484704,1080648,2383520,5023520,

%T 11272288,24906080,51970688,113273344,249152672,519714752,1132733728,

%U 2491526720,5197147520,11327337280,24915267200,51971475200,113273372800

%N Number of (n+1)X7 0..3 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases

%C Column 6 of A206206

%H R. H. Hardin, <a href="/A206204/b206204.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-3) for n>16

%e Some solutions for n=4

%e ..0..3..1..1..2..2..2....1..0..0..0..0..3..1....3..0..0..3..1..1..1

%e ..0..0..1..1..1..2..2....2..3..3..0..0..0..1....0..0..0..1..1..1..3

%e ..0..0..0..1..1..1..2....2..3..3..3..0..0..0....0..0..1..1..1..2..2

%e ..1..0..0..0..1..1..1....2..2..3..3..3..0..0....0..1..1..1..2..2..2

%e ..2..2..0..0..0..1..1....2..2..2..3..3..3..0....0..1..1..2..2..2..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 04 2012